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Finding the Third Proportional to 1,150,744.50 and 1,726,117.50

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Solution

The third proportional to 1,150,744.50 and 1,726,117.50 is: 2,589,177.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150,744.50 : 1,726,117.50 = 1,726,117.50 : x
  2. Step 2: Convert to fraction form
    1,150,744.50/1,726,117.50 = 1,726,117.50/x
  3. Step 3: Cross multiply
    1,150,744.50x = 1,726,117.50 × 1,726,117.50
  4. Step 4: Simplify right side
    1,150,744.50x = 2,979,481,623,806.25
  5. Step 5: Solve for x
    x = 2,979,481,623,806.25/1,150,744.50
  6. Step 6: Final answer
    x = 2,589,177.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.